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Finding the Fourth Proportional to 129,704.20, 194,402.70 and 54,824.20

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Solution

The fourth proportional to 129,704.20, 194,402.70 and 54,824.20 is: 82,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,704.20 : 194,402.70 = 54,824.20 : x
  2. Step 2: Convert to fraction form
    129,704.20/194,402.70 = 54,824.20/x
  3. Step 3: Cross multiply
    129,704.20x = 194,402.70 × 54,824.20
  4. Step 4: Simplify right side
    129,704.20x = 10,657,972,505.34
  5. Step 5: Solve for x
    x = 10,657,972,505.34/129,704.20
  6. Step 6: Final answer
    x = 82,171.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.